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2345493825 = 3252173716573
BaseRepresentation
bin1000101111001101…
…0110010101000001
320001110110102122200
42023303112111001
514300421300300
61024424023413
7112060240263
oct21363262501
96043412580
102345493825
11aa3a74254
12555601b69
132b4c1348c
14183711b33
15dadab200
hex8bcd6541

2345493825 has 72 divisors (see below), whose sum is σ = 4568656248. Its totient is φ = 1145456640.

The previous prime is 2345493803. The next prime is 2345493863. The reversal of 2345493825 is 5283945432.

2345493825 is a `hidden beast` number, since 23 + 4 + 549 + 3 + 82 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 10284849 + 2335208976 = 3207^2 + 48324^2 .

It is not a de Polignac number, because 2345493825 - 211 = 2345491777 is a prime.

It is a super-2 number, since 2×23454938252 = 11002682566226261250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 133239 + ... + 149811.

It is an arithmetic number, because the mean of its divisors is an integer number (63453559).

Almost surely, 22345493825 is an apocalyptic number.

2345493825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2345493825 is a deficient number, since it is larger than the sum of its proper divisors (2223162423).

2345493825 is a wasteful number, since it uses less digits than its factorization.

2345493825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16643 (or 16635 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 2345493825 is about 48430.2986259635. The cubic root of 2345493825 is about 1328.6525681330.

The spelling of 2345493825 in words is "two billion, three hundred forty-five million, four hundred ninety-three thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 37 45 51 75 85 111 153 185 225 255 333 425 555 629 765 925 1275 1665 1887 2775 3145 3825 5661 8325 9435 15725 16573 28305 47175 49719 82865 141525 149157 248595 281741 414325 613201 745785 845223 1242975 1408705 1839603 2535669 3066005 3728925 4226115 5518809 7043525 9198015 10424417 12678345 15330025 21130575 27594045 31273251 45990075 52122085 63391725 93819753 137970225 156366255 260610425 469098765 781831275 2345493825